Results 51 to 60 of about 3,682,860 (177)

de Sitter State in Heterotic String Theory

open access: yesFortschritte der Physik, Volume 72, Issue 11, November 2024.
Abstract Recent no‐go theorems have ruled out four‐dimensional classical de Sitter vacua in heterotic string theory. On the other hand, the absence of a well‐defined Wilsonian effective action and other related phenomena also appear to rule out such time‐dependent vacua with de Sitter isometries, even in the presence of quantum corrections.
Stephon Alexander   +4 more
wiley   +1 more source

Predicting spatiotemporal patterns of productivity and grazing from multispectral data using neural network analysis based on system complexity

open access: yesAgrosystems, Geosciences &Environment, Volume 7, Issue 3, September 2024.
Abstract Remote sensing tools, along with Global Navigation Satellite System cattle collars and digital soil maps, may help elucidate spatiotemporal relationships among soils, terrain, forages, and animals. However, standard computational procedures preclude systems‐level evaluations across this continuum due to data inoperability and processing ...
A. J. Ashworth   +8 more
wiley   +1 more source

Taming the terminological tempest in invasion science

open access: yesBiological Reviews, Volume 99, Issue 4, Page 1357-1390, August 2024.
ABSTRACT Standardised terminology in science is important for clarity of interpretation and communication. In invasion science – a dynamic and rapidly evolving discipline – the proliferation of technical terminology has lacked a standardised framework for its development.
Ismael Soto   +84 more
wiley   +1 more source

Kirchhoff equations in generalized Gevrey spaces: local existence, global existence, uniqueness [PDF]

open access: yes, 2009
In this note we present some recent results for Kirchhoff equations in generalized Gevrey spaces. We show that these spaces are the natural framework where classical results can be unified and extended.
Ghisi, Marina, Gobbino, Massimo
core   +2 more sources

Global Analytic Solutions for the Nonlinear Schr\"odinger Equation

open access: yes, 2019
We prove the existence of global analytic solutions to the nonlinear Schr\"odinger equation in one dimension for a certain type of analytic initial data in $L^2$.Comment: Corrected errors in proofs in section
Biyar, Magzhan   +1 more
core   +1 more source

The Metivier inequality and ultradifferentiable hypoellipticity

open access: yesMathematische Nachrichten, Volume 297, Issue 7, Page 2517-2531, July 2024.
Abstract In 1980, Métivier characterized the analytic (and Gevrey) hypoellipticity of L2$L^2$‐solvable partial linear differential operators by a priori estimates. In this note, we extend this characterization to ultradifferentiable hypoellipticity with respect to Denjoy–Carleman classes given by suitable weight sequences. We also discuss the case when
Paulo D. Cordaro, Stefan Fürdös
wiley   +1 more source

A few remarks on time-frequency analysis of Gevrey, analytic and ultra-analytic functions

open access: yes, 2012
We give a brief survey of recent results concerning almost diagonalization of pseudodifferential operators via Gabor frames. Moreover, we show new connections between symbols with Gevrey, analytic or ultra-analityc regularity and time-frequency analysis ...
Cordero, Elena   +2 more
core   +1 more source

Taylor dispersion and phase mixing in the non‐cutoff Boltzmann equation on the whole space

open access: yesProceedings of the London Mathematical Society, Volume 129, Issue 1, July 2024.
Abstract In this paper we describe the long‐time behavior of the non‐cutoff Boltzmann equation with soft potentials near a global Maxwellian background on the whole space in the weakly collisional limit (that is, infinite Knudsen number 1/ν→∞$1/\nu \rightarrow \infty$). Specifically, we prove that for initial data sufficiently small (independent of the
Jacob Bedrossian   +2 more
wiley   +1 more source

Soft Riemann‐Hilbert problems and planar orthogonal polynomials

open access: yesCommunications on Pure and Applied Mathematics, Volume 77, Issue 4, Page 2413-2451, April 2024.
Abstract Riemann‐Hilbert problems are jump problems for holomorphic functions along given interfaces. They arise in various contexts, for example, in the asymptotic study of certain nonlinear partial differential equations and in the asymptotic analysis of orthogonal polynomials. Matrix‐valued Riemann‐Hilbert problems were considered by Deift et al. in
Haakan Hedenmalm
wiley   +1 more source

KdV-type equations in projective Gevrey classes

open access: yes, 2022
We prove well-posedness of the Cauchy problem for a class of third order quasilinear evolution equations with variable coefficients in projective Gevrey spaces. The class considered is connected with several equations in Mathematical Physics as the KdV and KdVB equation and some of their many generalizations.
Junior, Alexandre Arias   +2 more
openaire   +2 more sources

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